Matches in SemOpenAlex for { <https://semopenalex.org/work/W3121796750> ?p ?o ?g. }
- W3121796750 endingPage "1742008" @default.
- W3121796750 startingPage "1742008" @default.
- W3121796750 abstract "This article is meant as an accessible introduction to/tutorial on the analytical construction and numerical simulation of a class of non-standard solitary waves termed emph{peakompactons}. These peaked compactly supported waves arise as solutions to nonlinear evolution equations from a hierarchy of nonlinearly dispersive Korteweg--de Vries-type models. Peakompactons, like the now-well-know compactons and unlike the soliton solutions of the Korteweg--de Vries equation, have finite support, {it i.e.}, they are of finite wavelength. However, unlike compactons, peakompactons are also peaked, {it i.e.}, a higher spatial derivative suffers a jump discontinuity at the wave's crest. Here, we construct such solutions exactly by reducing the governing partial differential equation to a nonlinear ordinary differential equation and employing a phase-plane analysis. A simple, but reliable, finite-difference scheme is also designed and tested for the simulation of collisions of peakompactons. In addition to the peakompacton class of solutions, the general physical features of the so-called $K^#(n,m)$ hierarchy of nonlinearly dispersive Korteweg--de Vries-type models are discussed as well." @default.
- W3121796750 created "2021-02-01" @default.
- W3121796750 creator A5020256818 @default.
- W3121796750 creator A5045376667 @default.
- W3121796750 creator A5091910309 @default.
- W3121796750 date "2017-04-20" @default.
- W3121796750 modified "2023-09-26" @default.
- W3121796750 title "Peakompactons: Peaked compact nonlinear waves" @default.
- W3121796750 cites W1427593441 @default.
- W3121796750 cites W1516356750 @default.
- W3121796750 cites W1525877463 @default.
- W3121796750 cites W168267452 @default.
- W3121796750 cites W1728157899 @default.
- W3121796750 cites W1876010598 @default.
- W3121796750 cites W1887903210 @default.
- W3121796750 cites W1916342882 @default.
- W3121796750 cites W1968610099 @default.
- W3121796750 cites W1969711311 @default.
- W3121796750 cites W1970680427 @default.
- W3121796750 cites W1972739465 @default.
- W3121796750 cites W1974071767 @default.
- W3121796750 cites W1978527679 @default.
- W3121796750 cites W1979722387 @default.
- W3121796750 cites W1980539345 @default.
- W3121796750 cites W1986193119 @default.
- W3121796750 cites W1988923030 @default.
- W3121796750 cites W1990720130 @default.
- W3121796750 cites W1994012722 @default.
- W3121796750 cites W1994123268 @default.
- W3121796750 cites W1997641401 @default.
- W3121796750 cites W1997900461 @default.
- W3121796750 cites W2000642936 @default.
- W3121796750 cites W2002122082 @default.
- W3121796750 cites W2002888991 @default.
- W3121796750 cites W2003630455 @default.
- W3121796750 cites W2007875224 @default.
- W3121796750 cites W2009082840 @default.
- W3121796750 cites W2012152487 @default.
- W3121796750 cites W2012738836 @default.
- W3121796750 cites W2015461805 @default.
- W3121796750 cites W2016096163 @default.
- W3121796750 cites W2019128130 @default.
- W3121796750 cites W2026031976 @default.
- W3121796750 cites W2029799329 @default.
- W3121796750 cites W2030593486 @default.
- W3121796750 cites W2031683946 @default.
- W3121796750 cites W2032968553 @default.
- W3121796750 cites W2038786219 @default.
- W3121796750 cites W2039290753 @default.
- W3121796750 cites W2046715812 @default.
- W3121796750 cites W2047442967 @default.
- W3121796750 cites W2047857956 @default.
- W3121796750 cites W2049998567 @default.
- W3121796750 cites W2050492966 @default.
- W3121796750 cites W2050639649 @default.
- W3121796750 cites W2050675504 @default.
- W3121796750 cites W2052359902 @default.
- W3121796750 cites W2063318650 @default.
- W3121796750 cites W2065086880 @default.
- W3121796750 cites W2067123857 @default.
- W3121796750 cites W2071379419 @default.
- W3121796750 cites W2071969012 @default.
- W3121796750 cites W2072828636 @default.
- W3121796750 cites W2079285567 @default.
- W3121796750 cites W2083523368 @default.
- W3121796750 cites W2083796813 @default.
- W3121796750 cites W2085264708 @default.
- W3121796750 cites W2086673715 @default.
- W3121796750 cites W2086829919 @default.
- W3121796750 cites W2094139180 @default.
- W3121796750 cites W2095469050 @default.
- W3121796750 cites W2098597094 @default.
- W3121796750 cites W2100972184 @default.
- W3121796750 cites W2104149066 @default.
- W3121796750 cites W2106967986 @default.
- W3121796750 cites W2107548397 @default.
- W3121796750 cites W2134376747 @default.
- W3121796750 cites W2135666645 @default.
- W3121796750 cites W2136229050 @default.
- W3121796750 cites W2138275698 @default.
- W3121796750 cites W2140584838 @default.
- W3121796750 cites W2144787610 @default.
- W3121796750 cites W2145487831 @default.
- W3121796750 cites W2146161217 @default.
- W3121796750 cites W2153635930 @default.
- W3121796750 cites W2154017369 @default.
- W3121796750 cites W2160127505 @default.
- W3121796750 cites W2160217480 @default.
- W3121796750 cites W2162550557 @default.
- W3121796750 cites W2168058886 @default.
- W3121796750 cites W2172194087 @default.
- W3121796750 cites W2482071863 @default.
- W3121796750 cites W2530327120 @default.
- W3121796750 cites W2913558729 @default.
- W3121796750 cites W292704240 @default.
- W3121796750 cites W3022350833 @default.
- W3121796750 cites W3100142532 @default.
- W3121796750 cites W3103242787 @default.